UGA VIGRE GROUP:
DYNAMICAL SYSTEMS IN MATHEMATICAL BIOLOGY



The UGA VIGRE Dynamical Systems Group consists
of faculty members, graduate students and undergraduates. We are
interested in studying ordinary differential equations and their
applications to the biological sciences.
Our current research facilitators are Dr. Malcolm Adams,
Dr. Caner Kazanci, and Dr. Andrew Sornborger.
We use Maple, Matlab, and qualitative analytic
methods to study and develop models from the biological sciences. We
now have three subgroups working on models from epidemiology for the
parvo virus, HIV, and parasite infection. A fourth subgroup is looking
at models of morphogenesis in zebra fish. The parvo virus and
parasitology groups are studying the onset of limit cycles, the HIV
group has started a review of literature and is now coding some
existing models to aid further study. The morphogenesis group is
interested in studying bifurcations of reaction-diffusion systems.